document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209396>Question 209396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Admiral Al needs a ramp to perform a stunt at the Arlington High School pep rally. For the first 20 feet along the ground, the ramp must rise off of the ground at a constant rate. After the construction crew had finished 5 feet of the horizontal distance, the track is 4 feet off the ground. After 20 feet of horizontal distance is constructed, Admiral Al needs to clear a 12 foot high barrier. Will he be able to do it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158314 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> does not appear to be a problem.<BR>\n" );
document.write( "the ratio of the vertical distance to the horizontal distance is 4/5<BR>\n" );
document.write( "4/5 * 20 = 16 feet.<BR>\n" );
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document.write( "he should clear the 12 foot barrier with 4 feet to spare.<BR>\n" );
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document.write( "alternate way of proving this is tangent of angle ramp makes with the ground is 4/5 (opposite / adjacent)<BR>\n" );
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document.write( "this makes the angle equal to 38.6599 degrees.<BR>\n" );
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document.write( "if the horizontal distance is 20 feet, then the tan(38.699) degrees = o/a = o/20.<BR>\n" );
document.write( "this means that o = 20 * tan(38.6599) = 16 feet.<BR>\n" );
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document.write( "o means opposite side from the angle which is the vertical height.<BR>\n" );
document.write( "a means adjacent side from the angle which is the horizontal distance.<BR>\n" );
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document.write( "if you want to name the triangle, let A be where the construction starts, let B be 20 feet of horizontal distance from the starting point, let C be 16 feet of vertical distance directly above point B.  the ramp is AC, the horizontal distance is AB, the vertical distance is BC.<BR>\n" );
document.write( "the angle is angle BAC, otherwise known as angle A.<BR>\n" );
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document.write( "the tangent of the angle will find you the vertical distance all along the way.<BR>\n" );
document.write( "given 5 feet of horizontal distance from the starting point of A, the vertical distance is 5 * tan (38.6599) = 4 feet.<BR>\n" );
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